408960 has 96 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 107520.

The previous prime is 408959. The next prime is 408971. The reversal of 408960 is 69804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408960.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5725 + ... + 5795.

2⁴⁰⁸⁹⁶⁰ is an apocalyptic number.

408960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 639×640.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

408960 is an abundant number, since it is smaller than the sum of its proper divisors (1023120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408960 is a wasteful number, since it uses less digits than its factorization.

408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 408960 is about 639.4998045348. The cubic root of 408960 is about 74.2267212676.

The spelling of 408960 in words is "four hundred eight thousand, nine hundred sixty".